带非紧测度的Banach空间中半线性非局部微分方程

摘要

In this paper we study the existence of mild solutions for semilinear differential equations with nonlocal initial conditions in separable Banach spaces. We derive conditions in respect of the Hausdorff measure of noncompactness under which the mild solutions exit.%本文讨论了可分 Banach 空间中具有非局部初值条件的半线性微分方程在 Hausdorff 非紧测度条件下广义解的存在性.